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Math Help - closed integral

  1. #1
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    closed integral

    evaluate integral closed integral-codecogseqn-5-.gif counterclockwise around the triangle with vertices (0,0) (1,0) and (0,1)
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  2. #2
    MHF Contributor FernandoRevilla's Avatar
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    Re: closed integral

    What have you tried so far?
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  3. #3
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    Re: closed integral

    i have tried using the area of region (0, 0) (0,1) (1,0) and multiplying this with the equation under the closed integral

    ie is integrate(f.da) gauss theorem
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  4. #4
    MHF Contributor FernandoRevilla's Avatar
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    Re: closed integral

    Quote Originally Posted by prasum View Post
    i have tried using the area of region (0, 0) (0,1) (1,0) and multiplying this with the equation under the closed integral
    ie is integrate(f.da) gauss theorem
    Using the Green's theorem, \int_C(x-y)dx+(x+y)dy=\iint_D(1+1)\;dxdy=2A where A is the area of the triangle.
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